Off-diagonal boundedness and unboundedness of product Bergman-type operators

DOI10.1007/S00025-019-0965-3zbMath1412.32006OpenAlexW2913080005MaRDI QIDQ667581

Justice Sam Bansah, Benoit Florent Sehba

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-0965-3

zbMATH Keywords

Bergman projectionproducts of the upper half-plane

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Bergman spaces of functions in several complex variables (32A36)

Cites Work

• Unnamed Item
• Boundedness of a family of Hilbert-type operators and its Bergman-type analogue
• On the boundedness of the fractional Bergman operators
• \(L^p - L^q\) boundedness of Bergman-type operators over the Siegel upper half-space
• Two classes of integral operators over the Siegel upper half-space
• Generalization of Schur's test and its application to a class of integral operators on the unit ball of \(\mathbb C^n\)
• The $\theta $-bump theorem for product fractional integrals
• The n-linear embedding theorem for dyadic rectangles
• The hyper-singular cousin of the Bergman projection
• On inequalities for integral operators

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